Physics 50 Equation Sheet
fi
r r r
Displacement
r
vt
Average velocity
dt
rd
v
Instantaneous velocity
st
Average Speed
v
at
Average acceleration
2
2
dt
rd
dt
vd
a
Instataneous acceleration
o
v v at
Velocity as function of
time
2
(1/ 2)
oo
x x v t at
Position as function of
time
22
2 ( )
oo
v v a x x
Velocity as function of
position
2
o
o
vv
x x t
Position as function of
velocity and time
2
r
v
ar
Radial (centripetal)
acceleration
F ma
Newton’s 2nd Law
w mg
Weight of a body
kk
fN
Kinetic friction force
Nf ss
Static frictional force
cosW F s Fs
Work done by constant
force
s
F kx
Spring force (Hooke’s
Law)
22
(1/ 2) (1/ 2)
s i f
W kx kx
Work done by spring
force
Wapplied= - Ws
Work done by applied force
K=(1/2)mv2
Kinetic energy
net f i
W K K K
Work-Energy Theorem
Pave=
W
t
Average power
dt
dW
P
Instantaneous power
cosP F v Fv
Instantaneous power
Ug=mgy
Gravitational PE
Function (constant g)
Us=(1/2)kx2
Elastic PE Function
Emech=K+U
Total Mechanical Energy
nc
W K U
Work by non-conservative
forces
Ki+Ui = Kf+Uf
Conservation of
Mechanical Energy
P MV
Linear Momentum
ext
dP
Fdt
Newton’s 2nd Law
)( 12 ttFI ext
Impulse due to a constant
net force
pppI
12
Impulse-Momentum
Theorem
)( 1212 iiff vvvv
Relative velocities in an
elastic collision
sr
Arc length
t
Average Angular Speed
d
dt
Instantaneous Angular
Speed
t
Average angular
acceleration
2
2
dt
d
dt
d
Instantaneous angular
acceleration
2
1
2
oo
tt
Angular position as
function of time
ot
Angular speed as function
of time
22
2 ( )
oo
Angular speed as function
of angular position
2
o
ot
Angular position as
function of angular speed
and time
t
vr
Tangential speed
t
ar
Tangential acceleration
22
r
v
ar
r
Radial (centripetal)
acceleration
2
ii
I m r
Moment of Inertia for
System of Particles
2
MdII cmp
Parallel-Axis Theorem
2
1
2
R
KI
Rotational kinetic energy
Fr
Definition of Torque
ext I
Newton’s 2nd Law for Rotation
